On Absoluteness of Categoricity in Abstract Elementary Classes

Notre Dame Journal of Formal Logic 52 (4):395-402 (2011)
Abstract
Shelah has shown that $\aleph_1$-categoricity for Abstract Elementary Classes (AECs) is not absolute in the following sense: There is an example $K$ of an AEC (which is actually axiomatizable in the logic $L(Q)$) such that if $2^{\aleph_0}
Keywords abstract elementary classes   categoricity   forcing   absoluteness
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DOI 10.1215/00294527-1499354
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